Consider a rectangular plate of width B = 1m (measured in the direction normal to the plane of this sheet) and negligible thickness, which separates two fluids of densities ρ and ρw. A mass of density ρs is supported by an inextensible rope that passes through a pulley connected to one end of the plate. Consider that ρ = 1.59ρw and ρs = 2.40ρw, where ρw = 1000 kg/m3. Determine the volume that this mass must have for the system to remain in equilibrium, as shown in the figure.

Q: The inclined pipe shown in the figure is used to carry oil (p = 900 kg/m³, μ = 9x10-3 Pa.s) The pipe…

A: Solution: Given: ρ=900 kg/m3 μ=9×10-3Pas D = 20 cm =0.2 m L = 300 m V = 3 m/s

Q: Q. A bar 500 mm long and 30 mm in diameter hangs vertically and has a collar securely attached at…

A: L=500mm d=30mm P=150N h=60mm To find stress induced

Q: A 40 mm diameter plastic sphere (SG = 1.5) settles in a still water body. The required chart is as…

A: Given data: A smooth sphere Diameter of sphere=40 mm=4 cm Radius of sphere=2 cm SG of sphere=1.5…

Q: A cylinder (2.0 m diameter, 3.0 m long and 25 kN weight) is acted upon by water on one side and oil…

A:

Q: An 8.00 kg box sits on a ramp that is inclined at 33.0° above the horizontal. The coefficient of…

A: Step 1: Step 2: Step 3: Step 4:

Q: nown in the figure, is .2 R²

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Q: Find the magnitude of the force P

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Q: Given laminar fully developed flow in an elliptical duct of semiaxes a and b. Show that, for a given…

A: Question is based on the  flow is fully laminar. For a given pressure gradient, the flow rate per…

Q: Problem 4. A hollow circular tube T of length L=15 in is compressed by a force P acting through a…

A: Given dataInner dia. of tube=di=2.75 inouter dia. of tube =d0= india of bar=d=1.5 inlength of…

Q: A circular shaft of the dimensions shown in the following figure is subjected to three torques : T1=…

A: The given figure is shown below:

Q: need

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Q: An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of…

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Q: H/3 Figure Q.4.

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Q: A 6.00-kg block is in contact with a 4.00-kg block on a rough surface as shown in the figure. Total…

A: Objective: To determine the force exerted by the the 6kg block on the 4 kg block.   Given: Mass of…

Q: A continuous beam loaded as shown figure. Assume El is constant. Use any method to determine the…

A:

Q: It takes a vertical force of F= 75,000 lb to separate the two parts at A and C in (Figure 1). Figure…

A: Given, F=75,000 lbμs=0.2to determine,P

Q: A 25-mm diameter shaft with density 7,870 kg/m³ is pulled through a cylindrical bore as shown. Oil…

A:

Q: As shown is a cylinder (?=0.8 m,) that is hinged at O. Compute the FR and ϴx. Analyze 1 m length.…

A:

Q: 10. A cubical tank (sides 2 meters) is filled with water to height H = 1.3 m at 1 = 0. The water is…

A: Ordinary differential equations: If the derivative of only one independent variable is done, then…

Q: A 40 mm diameter plastic sphere (SG = 1.5) settles in a still water body. The required chart is as…

A:

Q: Question 1 A line was determined to be 2395.25 m when measures with a 30 m. steel tape supported…

A:

Q: Solve for the value of R and X that will make the bar in equilibrium. *use 3 decimal place in…

A: Take equilibrium about vertical:∑ Fy=0R+1.5R-50x-305-300-250=02.5R-50x=700R=280+20x........1

Q: Hydrostatic Force - Pressure x Area Suppose that a vertical, parabol1ic gate is installed on the…

A: Given: The depth of gas tank is 24 ft. The shape of the gate is defined by the equation y=2-12x2 The…

Q: Q6) A hydraulic system is shown in figure Q6. Assume the system is in equilibrium state (There is no…

A: Using Hydraulic press principle one can get Solution for the given parts.fa=FAf=Small weight lifted…

Q: 4. A water flows through a pipe at a velocity 2 m/s. The pressure gauge reading is 2 bar. The datum…

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Q: ): In flow of sudden contraction, the change of pressure (Ap) is depends on the density p, the…

A: step 1-

Q: The velocity components in a two-dimensional flow field for an incompressible fluid are as follows:…

A: Given Data- u=y33+2x-x2y, v=xy2-2y-x33, To find- An expression for stream function.

Q: B 30° 45°

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Q: For the system shown, the masses of A and B are 55 kg and 135 kg, respectively. The 20° coefficient…

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Q: A trapezoidal plate shown in the figure is submerged in water is 2.4 m below the surface. The bases…

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Q: THE CIRCULAR TROUGH AS SHOWN IN THE FIGURE IS FILLED WITH WATER UP TO THE BRIM. USING THE THEOREM OF…

A:

Q: In the figure shown, compute the minimum value of 8 so that there is 550 1b impending motion of the…

A: compute the minimum value of theta so that there is no impending motion

Q: A block weighs 460 N in air and has a dimension of h = 0.5 m, w = 0.3 m, and t = 0.2 m. 11. Find the…

A:

Q: A 25-mm diameter shaft with density 7,870 kg/m³ is pulled through a cylindrical bore a shown. Oil…

A: Given :

Q: A hollow cylindrical cast iron column is 4 m long with both ends fixed. Calculate the minimum…

A: Given data, A hollow cylindrical cast iron column, Length= L= 4m= 4000mm Psafe= 250kN Fos= 5 σc=…

Q: A 15-kg solid cylinder rolls without slipping down the incline (30° with the horizontal). Determine…

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Q: A trapezoidal plate shown in the figure is submerged in water is 3.4 m below the surface. The bases…

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Q: Example 2.A Width is 1 m. Find: F and the position that the fluid pressure exerted. ΣF=0=Fy-Fy - W…

A: Given: The width of the surface = 1 m Depth to the start of the curve = 4 m Curve radius = 2 m…

Highway Drainage

Highway drainage is the process of extracting and regulating the excess surface water on the pavement by giving the desired slope. The construction of a highway drain helps to divert the water present on the surface, and sub-grade by the means of slope. Highway drainage systems are a necessary part of smooth functioning of traffic, since the highway drainage systems provide proper disposal of unwanted substances from the highways.